142611318720 has 1344 divisors, whose sum is σ = 596452147200. Its totient is φ = 30934794240.

The previous prime is 142611318713. The next prime is 142611318721. The reversal of 142611318720 is 27813116241.

142611318720 is a `hidden beast` number, since 1 + 4 + 2 + 611 + 3 + 18 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142611318721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 639512529 + ... + 639512751.

It is an arithmetic number, because the mean of its divisors is an integer number (443788800).

Almost surely, 2^142611318720 is an apocalyptic number.

142611318720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142611318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298226073600).

142611318720 is an abundant number, since it is smaller than the sum of its proper divisors (453840828480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142611318720 is a wasteful number, since it uses less digits than its factorization.

142611318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 142611318720 in words is "one hundred forty-two billion, six hundred eleven million, three hundred eighteen thousand, seven hundred twenty".